TY - BOOK

T1 - Novel scaling limits for critical inhomogeneous random graphs

AU - Bhamidi, S.

AU - Hofstad, van der, R.W.

AU - Leeuwaarden, van, J.S.H.

PY - 2009

Y1 - 2009

N2 - We find scaling limits for the sizes of the largest components at criticality for rank-1 inhomogeneous random graphs with power-law degrees with power-law exponent ?. We investigate the case where ??(3,4), so that the degrees have finite variance but infinite third moment. The sizes of the largest clusters, rescaled by n?(??2)/(??1), converge to hitting times of a ?thinned? Lévy process, a special case of the general multiplicative coalescents studied by Aldous [Ann. Probab. 25 (1997) 812?854] and Aldous and Limic [Electron. J. Probab. 3 (1998) 1?59].

AB - We find scaling limits for the sizes of the largest components at criticality for rank-1 inhomogeneous random graphs with power-law degrees with power-law exponent ?. We investigate the case where ??(3,4), so that the degrees have finite variance but infinite third moment. The sizes of the largest clusters, rescaled by n?(??2)/(??1), converge to hitting times of a ?thinned? Lévy process, a special case of the general multiplicative coalescents studied by Aldous [Ann. Probab. 25 (1997) 812?854] and Aldous and Limic [Electron. J. Probab. 3 (1998) 1?59].

M3 - Report

T3 - Report Eurandom

BT - Novel scaling limits for critical inhomogeneous random graphs

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -